The power of the Maupertuis-Jacobi principle-dreams and reality

DOI10.1016/0960-0779(94)E0082-ZzbMath0926.70020OpenAlexW2004364365MaRDI QIDQ1129396

Marek Biesiada

Publication date: 5 November 1998

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)e0082-z

Mathematics Subject Classification ID

Hamilton's equations (70H05) Hamilton's principle (70H25) Galactic and stellar dynamics (85A05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (3)

Effective Hamiltonian dynamics via the Maupertuis principle ⋮ Jacobi–Maupertuis metric and Kepler equation ⋮ Maximum path information and the principle of least action for chaotic system

Cites Work

• Determining Lyapunov exponents from a time series
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Who cares about integrability?
• Curvature and mechanics
• Killing tensors from conformal Killing vectors
• DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• A Method for Generating Solutions of Einstein's Equations
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